Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory

Katsusada Morita; Yoshitaka Okumura; Eizou Umezawa

doi:10.1143/PTP.110.989

Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory

Katsusada Morita
, Yoshitaka Okumura
, Eizou Umezawa

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

31 被引用数 (Scopus)

抄録

It is shown that the one-loop two-point amplitude in Lorentz-invariant non-commutative (NO) φ³ theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule. This eliminates the unitarity problem in Lorentz-non-invariant NC field theory in the approximation considered.

本文言語	英語
ページ（範囲）	989-1001
ページ数	13
ジャーナル	Progress of Theoretical Physics
巻	110
号	5
DOI	https://doi.org/10.1143/PTP.110.989
出版ステータス	出版済み - 11-2003
外部発表	はい

All Science Journal Classification (ASJC) codes

物理学および天文学（その他）

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10.1143/PTP.110.989

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引用スタイル

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title = "Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory",

abstract = "It is shown that the one-loop two-point amplitude in Lorentz-invariant non-commutative (NO) φ3 theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule. This eliminates the unitarity problem in Lorentz-non-invariant NC field theory in the approximation considered.",

author = "Katsusada Morita and Yoshitaka Okumura and Eizou Umezawa",

year = "2003",

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AB - It is shown that the one-loop two-point amplitude in Lorentz-invariant non-commutative (NO) φ3 theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule. This eliminates the unitarity problem in Lorentz-non-invariant NC field theory in the approximation considered.

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JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

IS - 5

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Lorentz Invariance and the Unitarity Problem in Non-Commutative Field Theory

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All Science Journal Classification (ASJC) codes

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